LOGARITHMS 2

Evaluate Log100000 +  log 0.001 + log₃243

Solution

= Log100000 +  log 0.001 + log₃243

= Log10⁵ +  log 10^-3 + log₃3^-5

= 5Log10 +  (-3log 10) + (-5log₃3)    [since log_aaⁿ  = nlog_aa]

= (5x1) + (-3x1) + (-5x1)             [since log_aa = 1]

= 5 + (-3) + (-5)

= 5 - 8

= -3

Hence Log100000 +  log 0.001 + log₃243 = -3

TRY THIS...............................

Evaluate Log100,000 +  log 0.01 + log₃729